Finding the Fourth Proportional to 11,677.61, 16,092.00 and 8,311

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.61 : 16,092.00 = 8,311 : x
2. Step 2: Convert to fraction form
   11,677.61/16,092.00 = 8,311/x
3. Step 3: Cross multiply
   11,677.61x = 16,092.00 × 8,311
4. Step 4: Simplify right side
   11,677.61x = 133,740,570.45
5. Step 5: Solve for x
   x = 133,740,570.45/11,677.61
6. Step 6: Final answer
   x = 11,452.73